Question

Example of a sequence of Borel measures that converges weakly, but does not converge in Lévy–Prokhorov metric

score 139 · Answer 1 · 2022-04-28 22:50:42

139

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Example of a sequence of Borel measures that converges weakly, but does not converge in Lévy–Prokhorov metric

Published on 28 Apr 2022 - 22:50

score 266 · Answer 2 · 2022-04-30 09:07:39

266

Views

If $X$ is complete separable, then the space $\mathcal{P}(X)$ of all Borel probability measures on $X$ is separable in Prokhorov metric

Published on 30 Apr 2022 - 9:07

score 79 · Answer 3 · 2026-03-27 17:06:23

79

Views

Can a complex Radon measure be approximated by compactly supported Radon measures?

Published on 27 Mar 2026 - 17:06

score 91 · Answer 4 · 2022-05-01 18:53:38

91

Views

How is this version of Portmanteau theorem well-defined?

Published on 01 May 2022 - 18:53

score 38 · Answer 5 · 2022-05-04 17:40:03

38

Views

Equivalence relation induced by a free action of an infinite countable group is aperiodic?

Published on 04 May 2022 - 17:40

score 360 · Answer 6 · 2022-05-04 18:05:08

360

Views

Understanding proof that $f$ is Borel measurable.

Published on 04 May 2022 - 18:05

score 93 · Answer 7 · 2022-05-08 09:28:57

93

Views

Show that $S^{\otimes T}=\underset{I \,is\, a\, countable\, subset\, of\, T}{\cup}\,\,\,\pi_1^{-1}(S^{\otimes I})$

Published on 08 May 2022 - 9:28

score 61 · Answer 8 · 2022-05-09 15:22:16

61

Views

Help understanding the definition of a specific measure.

Published on 09 May 2022 - 15:22

score 342 · Answer 9 · 2022-05-09 23:19:14

342

Views

Weak Compactness Theorem for Borel Measures

Published on 09 May 2022 - 23:19

score 24 · Answer 10 · 2022-05-15 18:32:04

24

Views

Whether or not a measure is finite or $\sigma$-finite

Published on 15 May 2022 - 18:32

score 168 · Answer 11 · 2022-05-20 15:19:11

168

Views

Complement of the support of measure on R^n has measure 0

Published on 20 May 2022 - 15:19

score 125 · Answer 12 · 2022-05-25 10:00:47

125

Views

Haar measure on isomorphic subgroups

Published on 25 May 2022 - 10:00

score 51 · Answer 13 · 2022-05-29 02:07:14

51

Views

If $A\in\mathfrak{M}$, then there exist Borel sets $F$ and $G$ such that $F\subset A\subset G$, and $\mu(G-A)=\mu(A-F)=0$.

Published on 29 May 2022 - 2:07

score 35 · Answer 14 · 2022-06-02 14:56:36

35

Views

Let $\mu$ be a Borel probability measure on $X$ and $A$ its support. Which conditions on $X$ that makes $[A \neq \emptyset \implies \mu(A)=1]$ hold?

Published on 02 Jun 2022 - 14:56

score 87 · Answer 15 · 2022-06-06 02:42:45

87

Views

Lebesgue decomposition of increasing function

Published on 06 Jun 2022 - 2:42

List Question

Example of a sequence of Borel measures that converges weakly, but does not converge in Lévy–Prokhorov metric

If $X$ is complete separable, then the space $\mathcal{P}(X)$ of all Borel probability measures on $X$ is separable in Prokhorov metric

Can a complex Radon measure be approximated by compactly supported Radon measures?

How is this version of Portmanteau theorem well-defined?

Equivalence relation induced by a free action of an infinite countable group is aperiodic?

Understanding proof that $f$ is Borel measurable.

Show that $S^{\otimes T}=\underset{I \,is\, a\, countable\, subset\, of\, T}{\cup}\,\,\,\pi_1^{-1}(S^{\otimes I})$

Help understanding the definition of a specific measure.

Weak Compactness Theorem for Borel Measures

Whether or not a measure is finite or $\sigma$-finite

Complement of the support of measure on R^n has measure 0

Haar measure on isomorphic subgroups

If $A\in\mathfrak{M}$, then there exist Borel sets $F$ and $G$ such that $F\subset A\subset G$, and $\mu(G-A)=\mu(A-F)=0$.

Let $\mu$ be a Borel probability measure on $X$ and $A$ its support. Which conditions on $X$ that makes $[A \neq \emptyset \implies \mu(A)=1]$ hold?

Lebesgue decomposition of increasing function

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